Optical constants
Refractive index of Stainless steel
Karlsson and Ribbing 1982: Austenitic steel; n,k 0.20–2.50 µm
- Data
- tabulated nk
- Range
- 0.2–2.5 µm
- Points
- 116
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.18488
- Extinction coefficient k
- 3.88853
- Permittivity ε1
- -10.347
- Permittivity ε2
- 16.992
- Absorption coefficient α
- 831599 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 24.0501 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 3.84 µm⁻¹
- Group index ng
- -0.0715
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# Stainless steel: Karlsson and Ribbing 1982: Austenitic steel; n,k 0.20–2.50 µm
stainless_steel = ls.fetch_refractiveindex("other", "stainless_steel", "Karlsson-austenitic", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(stainless_steel.range_nm) # (200, 2500) nm
eps = stainless_steel.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_527c2733d902/lightsmith"
stainless_steel = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(stainless_steel.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (stainless-steel/karlsson-ribbing-1982-austenitic).
# ... load stainless_steel as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=stainless_steel)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
Comments and conditions
References
- doi:10.1063/1.331503 Optical constants and spectral selectivity of stainless steel and its oxides, Journal of Applied Physics (1982)
Cite
Björn Karlsson and Carl G. Ribbing. Optical constants and spectral selectivity of stainless steel and its oxides. Journal of Applied Physics, 53, 6340-6346 (1982), doi:10.1063/1.331503; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
116 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.2 | 1.1205 | 1.5667 |
| 0.22 | 1.1683 | 1.6653 |
| 0.24 | 1.2155 | 1.768 |
| 0.26 | 1.2614 | 1.8785 |
| 0.28 | 1.3009 | 2.0018 |
| 0.3 | 1.3241 | 2.1379 |
| 0.32 | 1.3575 | 2.2793 |
| 0.34 | 1.395 | 2.4165 |
| 0.36 | 1.4354 | 2.5447 |
| 0.38 | 1.4786 | 2.6681 |
| 0.4 | 1.5249 | 2.7925 |
| 0.42 | 1.5762 | 2.924 |
| 0.44 | 1.6386 | 3.0555 |
| 0.46 | 1.7169 | 3.1785 |
| 0.48 | 1.7921 | 3.2933 |
| 0.5 | 1.8636 | 3.401 |
| 0.52 | 1.9349 | 3.5072 |
| 0.54 | 2.0072 | 3.6166 |
| 0.56 | 2.0807 | 3.7298 |
| 0.58 | 2.1557 | 3.8451 |
| 0.6 | 2.2325 | 3.9594 |
| 0.62 | 2.3122 | 4.0504 |
| 0.64 | 2.3962 | 4.1378 |
| 0.66 | 2.4839 | 4.2261 |
| 0.68 | 2.5731 | 4.3155 |
| 0.7 | 2.6617 | 4.4066 |
| 0.72 | 2.7486 | 4.5036 |
| 0.74 | 2.8331 | 4.5851 |
| 0.76 | 2.9143 | 4.6435 |
| 0.78 | 2.9915 | 4.7009 |
| 0.8 | 3.0655 | 4.7583 |
| 0.82 | 3.1374 | 4.816 |
| 0.84 | 3.2096 | 4.8744 |
| 0.86 | 3.2883 | 4.936 |
| 0.88 | 3.3564 | 4.9894 |
| 0.9 | 3.418 | 5.0253 |
| 0.92 | 3.4782 | 5.0605 |
| 0.94 | 3.5383 | 5.0956 |
| 0.96 | 3.5995 | 5.131 |
| 0.98 | 3.658 | 5.1672 |
| 1.0 | 3.7005 | 5.2097 |
| 1.02 | 3.7415 | 5.2505 |
| 1.04 | 3.782 | 5.2893 |
| 1.06 | 3.822 | 5.3277 |
| 1.08 | 3.861 | 5.366 |
| 1.1 | 3.8973 | 5.4046 |
| 1.12 | 3.9279 | 5.4441 |
| 1.14 | 3.9615 | 5.4942 |
| 1.16 | 3.9968 | 5.5463 |
| 1.18 | 4.0326 | 5.5958 |
| 1.2 | 4.0685 | 5.6451 |
| 1.22 | 4.1043 | 5.6946 |
| 1.24 | 4.1397 | 5.7452 |
| 1.26 | 4.1751 | 5.8022 |
| 1.28 | 4.211 | 5.8669 |
| 1.3 | 4.2476 | 5.9162 |
| 1.32 | 4.2852 | 5.9638 |
| 1.34 | 4.3234 | 6.0109 |
| 1.36 | 4.3619 | 6.0583 |
| 1.38 | 4.4004 | 6.1066 |
| 1.4 | 4.4388 | 6.156 |
| 1.42 | 4.4769 | 6.2055 |
| 1.44 | 4.5146 | 6.2539 |
| 1.46 | 4.5519 | 6.3011 |
| 1.48 | 4.5888 | 6.3474 |
| 1.5 | 4.6253 | 6.3931 |
| 1.52 | 4.6615 | 6.4382 |
| 1.54 | 4.6975 | 6.4828 |
| 1.56 | 4.7334 | 6.5268 |
| 1.58 | 4.7692 | 6.5704 |
| 1.6 | 4.8048 | 6.6135 |
| 1.62 | 4.84 | 6.6562 |
| 1.64 | 4.8744 | 6.6985 |
| 1.66 | 4.9076 | 6.7405 |
| 1.68 | 4.9392 | 6.7822 |
| 1.7 | 4.9689 | 6.8236 |
| 1.72 | 4.9969 | 6.8647 |
| 1.74 | 5.0234 | 6.9057 |
| 1.76 | 5.049 | 6.9464 |
| 1.78 | 5.074 | 6.9869 |
| 1.8 | 5.0988 | 7.0273 |
| 1.82 | 5.1239 | 7.0675 |
| 1.84 | 5.1493 | 7.1076 |
| 1.86 | 5.1749 | 7.1476 |
| 1.88 | 5.2008 | 7.1876 |
| 1.9 | 5.227 | 7.2277 |
| 1.92 | 5.2534 | 7.2679 |
| 1.94 | 5.2799 | 7.3084 |
| 1.96 | 5.3065 | 7.3494 |
| 1.98 | 5.333 | 7.3911 |
| 2.0 | 5.3593 | 7.4336 |
| 2.02 | 5.3853 | 7.4772 |
| 2.04 | 5.4108 | 7.5218 |
| 2.06 | 5.4355 | 7.5673 |
| 2.08 | 5.4596 | 7.6134 |
| 2.1 | 5.4833 | 7.6599 |
| 2.12 | 5.5068 | 7.7064 |
| 2.14 | 5.5306 | 7.7527 |
| 2.16 | 5.5549 | 7.7985 |
| 2.18 | 5.5797 | 7.8438 |
| 2.2 | 5.605 | 7.8889 |
| 2.22 | 5.6306 | 7.9337 |
| 2.24 | 5.6563 | 7.9785 |
| 2.26 | 5.682 | 8.0235 |
| 2.28 | 5.7076 | 8.0682 |
| 2.3 | 5.7327 | 8.1123 |
| 2.32 | 5.7563 | 8.1556 |
| 2.34 | 5.7777 | 8.1985 |
| 2.36 | 5.8024 | 8.241 |
| 2.38 | 5.8293 | 8.2832 |
| 2.4 | 5.8543 | 8.3253 |
| 2.42 | 5.8766 | 8.3673 |
| 2.44 | 5.8957 | 8.4091 |
| 2.46 | 5.911 | 8.4509 |
| 2.48 | 5.9236 | 8.4927 |
| 2.5 | 5.9358 | 8.5344 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Austenitic stainless steel Avesta 832 MV (similar to SS316). Content by weight: Cr 18.5; Ni 9.3; C 0.038; Mo 0.44; Mn 1.61; N 0.09; P 0.029; Si 0.64.